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1672664924928 = 28347457101399
BaseRepresentation
bin11000010101110010100…
…110010100001100000000
312220220102220011010121010
4120111302212110030000
5204401104210044203
63320224530200520
7231563124163104
oct30256246241400
95826386133533
101672664924928
11595411820058
12230210123140
13c19684c613a
145ad59205904
152d79ab4c303
hex18572994300

1672664924928 has 144 divisors (see below), whose sum is σ = 4556439014400. Its totient is φ = 544492658688.

The previous prime is 1672664924927. The next prime is 1672664924933. The reversal of 1672664924928 is 8294294662761.

It is not an unprimeable number, because it can be changed into a prime (1672664924927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16445173 + ... + 16546571.

It is an arithmetic number, because the mean of its divisors is an integer number (31641937600).

Almost surely, 21672664924928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1672664924928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2278219507200).

1672664924928 is an abundant number, since it is smaller than the sum of its proper divisors (2883774089472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1672664924928 is a wasteful number, since it uses less digits than its factorization.

1672664924928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101922 (or 101908 counting only the distinct ones).

The product of its digits is 125411328, while the sum is 66.

The spelling of 1672664924928 in words is "one trillion, six hundred seventy-two billion, six hundred sixty-four million, nine hundred twenty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 256 282 376 384 457 564 752 768 914 1128 1371 1504 1828 2256 2742 3008 3656 4512 5484 6016 7312 9024 10968 12032 14624 18048 21479 21936 29248 36096 42958 43872 58496 64437 85916 87744 101399 116992 128874 171832 175488 202798 257748 304197 343664 350976 405596 515496 608394 687328 811192 1030992 1216788 1374656 1622384 2061984 2433576 2749312 3244768 4123968 4765753 4867152 5498624 6489536 8247936 9531506 9734304 12979072 14297259 16495872 19063012 19468608 25958144 28594518 38126024 38937216 46339343 57189036 76252048 77874432 92678686 114378072 139018029 152504096 185357372 228756144 278036058 305008192 370714744 457512288 556072116 610016384 741429488 915024576 1112144232 1220032768 1482858976 1830049152 2177949121 2224288464 2965717952 3660098304 4355898242 4448576928 5931435904 6533847363 8711796484 8897153856 11862871808 13067694726 17423592968 17794307712 26135389452 34847185936 35588615424 52270778904 69694371872 104541557808 139388743744 209083115616 278777487488 418166231232 557554974976 836332462464 1672664924928